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Finding the Third Proportional to 62,256 and 130,584

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Solution

The third proportional to 62,256 and 130,584 is: 273,904.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,256 : 130,584 = 130,584 : x
  2. Step 2: Convert to fraction form
    62,256/130,584 = 130,584/x
  3. Step 3: Cross multiply
    62,256x = 130,584 × 130,584
  4. Step 4: Simplify right side
    62,256x = 17,052,181,056
  5. Step 5: Solve for x
    x = 17,052,181,056/62,256
  6. Step 6: Final answer
    x = 273,904.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.